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Simplifying -1(x + 2) + -1(2x + -1) = -1(x + 1) + 2(x + -1) Reorder the terms: -1(2 + x) + -1(2x + -1) = -1(x + 1) + 2(x + -1) (2 * -1 + x * -1) + -1(2x + -1) = -1(x + 1) + 2(x + -1) (-2 + -1x) + -1(2x + -1) = -1(x + 1) + 2(x + -1) Reorder the terms: -2 + -1x + -1(-1 + 2x) = -1(x + 1) + 2(x + -1) -2 + -1x + (-1 * -1 + 2x * -1) = -1(x + 1) + 2(x + -1) -2 + -1x + (1 + -2x) = -1(x + 1) + 2(x + -1) Reorder the terms: -2 + 1 + -1x + -2x = -1(x + 1) + 2(x + -1) Combine like terms: -2 + 1 = -1 -1 + -1x + -2x = -1(x + 1) + 2(x + -1) Combine like terms: -1x + -2x = -3x -1 + -3x = -1(x + 1) + 2(x + -1) Reorder the terms: -1 + -3x = -1(1 + x) + 2(x + -1) -1 + -3x = (1 * -1 + x * -1) + 2(x + -1) -1 + -3x = (-1 + -1x) + 2(x + -1) Reorder the terms: -1 + -3x = -1 + -1x + 2(-1 + x) -1 + -3x = -1 + -1x + (-1 * 2 + x * 2) -1 + -3x = -1 + -1x + (-2 + 2x) Reorder the terms: -1 + -3x = -1 + -2 + -1x + 2x Combine like terms: -1 + -2 = -3 -1 + -3x = -3 + -1x + 2x Combine like terms: -1x + 2x = 1x -1 + -3x = -3 + 1x Solving -1 + -3x = -3 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + -3x + -1x = -3 + 1x + -1x Combine like terms: -3x + -1x = -4x -1 + -4x = -3 + 1x + -1x Combine like terms: 1x + -1x = 0 -1 + -4x = -3 + 0 -1 + -4x = -3 Add '1' to each side of the equation. -1 + 1 + -4x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -3 + 1 -4x = -3 + 1 Combine like terms: -3 + 1 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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